Calvin wants to customize his surfboard so that it is wider than the 82 model but narrower than the 92 model. What measurement could be the width of his surfboard? Explain.

22½" < W > 23¼"

Step-by-step explanation:

From online sources, I've been able to get the appropriate surfboard width for the 82 model and also 92 model. I've attached the both models as an image.

Now, from the image attached, we see that;

The 82 model surfboard has a width of 22½"

The 92 model surfboard has a width of 23¼"

Now, we are told that Calvin wants to customize his surfboard so that it is wider than the 82 model but narrower than the 92 model.

This means that the width will be wider than 22½" but narrower than 23¼".

Thus if the width is depicted as W, then the inequality depicting this is;

22½" < W > 23¼"

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).